8822880 has 144 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 2135040.

The previous prime is 8822867. The next prime is 8822893. The reversal of 8822880 is 882288.

8822880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8822867) and next prime (8822893).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8822880² = 155686422988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15562 + ... + 16118.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^8822880 is an apocalyptic number.

8822880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

8822880 is an abundant number, since it is smaller than the sum of its proper divisors (24081264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8822880 is a wasteful number, since it uses less digits than its factorization.

8822880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8822880 is about 2970.3333146299. Note that the first 4 decimals coincide. The cubic root of 8822880 is about 206.6347967968.

The spelling of 8822880 in words is "eight million, eight hundred twenty-two thousand, eight hundred eighty".